Soal Matematika Kelas 9 To Un

Explanation
The given expression involves a combination of addition, subtraction, multiplication, and division. According to the order of operations, multiplication and division should be performed before addition and subtraction. Therefore, we first multiply 16 by -8, which gives us -128. Then, we divide -128 by 4, resulting in -32. Next, we add -32 to -40, giving us -72. Finally, we subtract -72 from -32, resulting in -24. Therefore, the correct answer is -24.

Explanation
If a task can be completed by 6 people in 6 days, it means that each person takes 6 days to complete the task individually. If the number of workers is increased by 3, the total number of workers becomes 9. Since the task can still be completed in the same amount of time, it means that each person's workload is reduced. Therefore, the task can be completed in 4 days with 9 workers.

Explanation
The correct answer is Rp 600.000,00. This is because the interest earned on the savings can be calculated by subtracting the initial amount from the final amount. In this case, the initial amount is Rp 3.000.000,00 and the final amount is Rp 3.500.000,00. Thus, the interest earned is Rp 3.500.000,00 - Rp 3.000.000,00 = Rp 500.000,00. Since the interest is earned over a period of 10 months, the interest for a year can be calculated by dividing the interest earned by 10 and then multiplying it by 12. Therefore, the interest for a year is (Rp 500.000,00/10) x 12 = Rp 600.000,00.

Explanation
Dedi's savings increased from Rp1,800,000 to Rp2,091,600 in 6 months. To find the interest rate per month, we can use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years. In this case, P = Rp1,800,000, A = Rp2,091,600, t = 6/12 = 0.5 years, and n = 12 (compounded monthly). By substituting these values into the formula and solving for r, we find that the interest rate per month is approximately 2.7%.

Explanation
The given sequence follows a pattern where each term is obtained by subtracting 3 from the previous term. Starting with 20, we subtract 3 each time to get the next term: 20, 17, 14, 11, and so on. To find the 17th term, we continue subtracting 3 from the previous term 16 times: 11 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 = -28. Therefore, the 17th term of the sequence is -28.

Explanation
Based on the given information, there are 90 students who like football, 87 students who like basketball, and 60 students who like both. To find the number of students who do not like football or basketball, we need to subtract the number of students who like both from the total number of students who like football or basketball.

The total number of students who like football or basketball is calculated by adding the number of students who like football (90) and the number of students who like basketball (87), which equals 177.

Subtracting the number of students who like both (60) from the total number of students who like football or basketball (177) gives us the number of students who do not like football or basketball, which is 117.

Therefore, the correct answer is 117 orang.

Explanation
The pairs in (1) and (2) are functions because each input value is paired with a unique output value. In (1), the input values are 7, 8, 9, and 10, and the output value is x. In (2), the input values are 1, 2, 3, and 4, and the output values are m and n. In both cases, there is a one-to-one correspondence between the input and output values, satisfying the definition of a function. Therefore, the correct answer is (1) and (2).

Explanation
The given function is f(x) = 5x-3. We are given that f(c) = 2. To find the value of c, we substitute f(c) = 2 into the function. This gives us 2 = 5c-3. Solving this equation, we add 3 to both sides to get 5c = 5. Dividing both sides by 5, we find that c = 1. Therefore, the value of c is 1.

Explanation
The given question asks for the equation of the line perpendicular to the line 4x+5y-10=0 and passing through the intersection point of the lines y=2x-1 and y=4x-5. To find the equation of a line perpendicular to a given line, we need to find the negative reciprocal of the slope of the given line. The slope of the given line is -4/5, so the negative reciprocal is 5/4. Therefore, the equation of the perpendicular line can be written in the form 5x-4y+c=0, where c is a constant. To determine the value of c, we substitute the coordinates of the intersection point (x,y) = (1,1) into the equation, which gives 5(1)-4(1)+c=0. Solving for c, we find c=-2. Therefore, the equation of the perpendicular line is 5x-4y+2=0.

Explanation
The given steps describe the construction of a triangle XYZ. In step (4), it is mentioned to draw a line connecting point X to the intersection of side YZ, which forms the centroid of the triangle. This line is called the "Garis Berat" or "Garis Berat" in English. Hence, the correct answer is "Garis Berat".